Pith Number

pith:HCMKFUWI

pith:2016:HCMKFUWIOJK7CQOJXDT6TE47UC

not attested not anchored not stored refs pending

Toeplitz operators on the weighted harmonic Bergman spaces

Xianfeng Zhao, Zipeng Wang

arxiv:1603.06085 v1 · 2016-03-19 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCMKFUWIOJK7CQOJXDT6TE47UC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:00:46.037999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3898a2d2c87255f141c9b8e7e9939fa0a74d0374f608c4182a7c95d828922e9c

Aliases

arxiv: 1603.06085 · arxiv_version: 1603.06085v1 · doi: 10.48550/arxiv.1603.06085 · pith_short_12: HCMKFUWIOJK7 · pith_short_16: HCMKFUWIOJK7CQOJ · pith_short_8: HCMKFUWI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HCMKFUWIOJK7CQOJXDT6TE47UC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3898a2d2c87255f141c9b8e7e9939fa0a74d0374f608c4182a7c95d828922e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7469cdecc707f372d168b42fa552d9660fcf9f36a71f2f23f48ee571a4990803",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-19T11:48:45Z",
    "title_canon_sha256": "0f19807a7c78e8dc0e2fbe3f9f229aaf32fb2dd2187b69c56ec26aa7477f915d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06085",
    "kind": "arxiv",
    "version": 1
  }
}